768 research outputs found
Higgsless GUT Breaking and Trinification
Boundary conditions on an extra-dimensional interval can be chosen to break
bulk gauge symmetries and to reduce the rank of the gauge group. We consider
this mechanism in models with gauge trinification. We determine the boundary
conditions necessary to break the trinified gauge group directly down to that
of the standard model. Working in an effective theory for the gauge
symmetry-breaking parameters on a boundary, we examine the limit in which the
GUT-breaking sector is Higgsless and show how one may obtain the low-energy
particle content of the minimal supersymmetric standard model. We find that
gauge unification is preserved in this scenario, and that the differential
gauge coupling running is logarithmic above the scale of compactification. We
compare the phenomenology of our model to that of four-dimensional trinified
theories.Comment: 22 pages, LaTeX, 2 eps figures (v3: discussion of mass scales
clarified
1/Nc Countings in Baryons
The power countings for baryon decays and configuration mixings are
determined by means of a non-relativistic quark picture. Such countings are
expected to be robust under changes in the quark masses, and therefore valid as
these become light. It is shown that excited baryons have natural widths of
. These dominant widths are due to the decays that proceed
directly to the ground state baryons, with cascade decays being suppressed to
. Configuration mixings, defined as mixings between states
belonging to different multiplets, are shown to be
sub-leading in an expansion in when they involve the ground
state baryons, while the mixings between excited states can be
.Comment: 19 pages, 1 figure An omission that changes the conclusions on
configuration mixings has been correcte
Masses of the 70- Baryons in Large Nc QCD
The masses of the negative parity 70-plet baryons are analyzed in large N_c
QCD to order 1/N_c and to first order in SU(3) symmetry breaking. The existing
experimental data are well reproduced and twenty new observables are predicted.
The leading order SU(6) spin-flavor symmetry breaking is small and, as it
occurs in the quark model, the subleading in 1/N_c hyperfine interaction is the
dominant source of the breaking. It is found that the Lambda(1405) and
Lambda(1520) are well described as three-quark states and spin-orbit partners.
New relations between splittings in different SU(3) multiplets are found.Comment: 11 pages; references were added and a couple of improvements to the
text were mad
Decays of Baryons --- Quark Model versus Large-
We study nonleptonic decays of the orbitally excited, \su6 \rep{70}-plet
baryons in order to test the hypothesis that the successes of the
nonrelativistic quark model have a natural explanation in the large- limit
of QCD. By working in a Hartree approximation, we isolate a specific set of
operators that contribute to the observed s- and d-wave decays in leading order
in . We fit our results to the current experimental decay data, and make
predictions for a number of allowed but unobserved modes. Our tentative
conclusion is that there is more to the nonrelativistic quark model of baryons
than large-.Comment: LaTeX 49pp. (38 pp. landscape), PicTex, PrePicTex, PostPicTex
required for 3 figures, Harvard Preprint HUTP-94/A008. (Two additional
operators are included, but conclusions are unchanged.
Symmetries of the Standard Model without and with a Right-Handed Neutrino
Given the particle content of the standard model without and with a
right-handed neutrino, the requirement that all anomalies cancel singles out a
set of possible global symmetries which can be gauged. I review this topic and
propose a new gauge symmetry B - 3L_tau in the context of the minimal standard
model consisting of the usual three families of quarks and leptons plus just
one nu_R. The many interesting phenomenological consequences of this hypothesis
are briefly discussed.Comment: 7 pages, no figure, latex, sprocl.sty, talk at the Fifth Workshop on
High Energy Physics Phenomenology, Pune, Jan 9
S_3 and the L=1 Baryons in the Quark Model and the Chiral Quark Model
The S_3 symmetry corresponding to permuting the positions of the quarks
within a baryon allows us to study the 70-plet of L=1 baryons without an
explicit choice for the spatial part of the quark wave functions: given a set
of operators with definite transformation properties under the spin-flavor
group SU(3) x SU(2) and under this S_3, the masses of the baryons can be
expressed in terms of a small number of unknown parameters which are fit to the
observed L=1 baryon mass spectrum. This approach is applied to study both the
quark model and chiral constituent quark model. The latter theory leads to a
set of mass perturbations which more satisfactorily fits the observed L=1
baryon mass spectrum (though we can say nothing, within our approach, about the
physical reasonableness of the parameters in the fit). Predictions for the
mixing angles and the unobserved baryon masses are given for both models as
well as a discussion of specific baryons.Comment: 24 pages, requires picte
A Hexagonal Theory of Flavor
We construct a supersymmetric theory of flavor based on the discrete gauge
group (D_6)^2, where D_6 describes the symmetry of a regular hexagon under
proper rotations in three dimensions. The representation structure of the group
allows one to distinguish the third from the lighter two generations of matter
fields, so that in the symmetry limit only the top quark Yukawa coupling is
allowed and scalar superpartners of the first two generations are degenerate.
Light fermion Yukawa couplings arise from a sequential breaking of the flavor
symmetry, and supersymmetric flavor-changing processes remain adequately
suppressed. We contrast our model with others based on non-Abelian discrete
gauge symmetries described in the literature, and discuss the challenges in
constructing more minimal flavor models based on this approach.Comment: 19 pages, ReVTeX, 1 eps figur
Maximal Neutrino Mixing from a Minimal Flavor Symmetry
We study a number of models, based on a non-Abelian discrete group, that
successfully reproduce the simple and predictive Yukawa textures usually
associated with U(2) theories of flavor. These models allow for solutions to
the solar and atmospheric neutrino problems that do not require altering
successful predictions for the charged fermions or introducing sterile
neutrinos. Although Yukawa matrices are hierarchical in the models we consider,
the mixing between second- and third-generation neutrinos is naturally large.
We first present a quantitative analysis of a minimal model proposed in earlier
work, consisting of a global fit to fermion masses and mixing angles, including
the most important renormalization group effects. We then propose two new
variant models: The first reproduces all important features of the SU(5)xU(2)
unified theory with neither SU(5) nor U(2). The second demonstrates that
discrete subgroups of SU(2) can be used in constructing viable supersymmetric
theories of flavor without scalar universality even though SU(2) by itself
cannot.Comment: 34 pages LaTeX, 1 eps figure, minor revisions and references adde
A Supersymmetric Theory of Flavor and R Parity
We construct a renormalizable, supersymmetric theory of flavor and parity
based on the discrete flavor group . The model can account for all the
masses and mixing angles of the Standard Model, while maintaining sufficient
squark degeneracy to circumvent the supersymmetric flavor problem. By starting
with a simpler set of flavor symmetry breaking fields than we have suggested
previously, we construct an economical Froggatt-Nielsen sector that generates
the desired elements of the fermion Yukawa matrices. With the particle content
above the flavor scale completely specified, we show that all renormalizable
-parity-violating interactions involving the ordinary matter fields are
forbidden by the flavor symmetry. Thus, parity arises as an accidental
symmetry in our model. Planck-suppressed operators that violate parity, if
present, can be rendered harmless by taking the flavor scale to be GeV.Comment: 28 pp. LaTeX, 1 Postscript Figur
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